フォース・フリー磁場円柱ピンチ圧縮性プラズマの解析
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概要
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A force-free magnetic field B satisfies a relation ▽×B=αB, whwere α is assumed a constant in space. For a surface current cylindrical main plasma confined by force-free fields, the stability is investigated in detail numerically by evaluating the stable region and the growth rate of unstable mode for parameters γ, k, m, R_0/γ_0, αγ_0, β and (μ_0γ_0)^<-1> from dispersion relation, where γ is a specific heat, k is a real wave number, m is an integer, γ_0 and R_0 are the radii of the main plasma and conducting wall, respectively, and β and μ_0 are the plasma beta and reciprocal pitch on the main plasma surface, respectively. For negative (μ_0γ_0)^<-1>, positive k and m=1, the stable region is larger expanded by introducing the force-free magnetic field with tenuous plasma of perfect conductivity than that for small resistivity, because of virtual wall effect in the perfectly conducting tenuous plasma. The growth rate -G^2 of unstable mode for compresssible plasma is larger than that for incompressible plasma. Therefore, it may be more difficult to recover the stability of the main plasma failed into an instability for finite γ value as compared with that for infinite γ value, while the area of marginal stable mode does not vary for variation of γ value. To stabilize the unstable mode by the force-free field and wall, the values of β and (μ_0γ_0)^<-1> must be chosen for the mode to vanish at k=-μ_0. For m=1, β=0.5, (μ_0γ_0)^<-1>=-1, we have -G^2=0.31 with γ=0 and -G^2=0.25 with γ=5/3 and-G^2=0.24 with γ=∞ at k=-μ_0 and can make for-G^2 to vanish with β=0.38. For m=1, β=0.8, (μ_0γ_0)^<-1>=-1, we have-G^2=1.06 with γ=0 and -G^2=0.85 with γ=5/3 and -G^2=0.81 with γ=∞ at k=-μ_0, and can make for -G^2 to vanish with β=0.15.
- 北海道情報大学の論文
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